Question

ordinates of the vertices after a translation 14 units left and 7 units down.

Explanation:

Step1: Identify original coordinates

From the graph, the coordinates of point $J$ are $(6, - 3)$, $K$ are $(6,7)$, $L$ are $(8,7)$ and $M$ are $(8,-3)$.

Step2: Apply left - translation rule

For a translation 14 units left, subtract 14 from the $x$ - coordinate of each point.
For point $J$: $x = 6-14=-8$, for point $K$: $x = 6 - 14=-8$, for point $L$: $x = 8-14=-6$, for point $M$: $x = 8-14=-6$.

Step3: Apply down - translation rule

For a translation 7 units down, subtract 7 from the $y$ - coordinate of each point.
For point $J$: $y=-3 - 7=-10$, for point $K$: $y = 7-7 = 0$, for point $L$: $y=7 - 7=0$, for point $M$: $y=-3-7=-10$.

Answer:

The new coordinates are $J(-8,-10)$, $K(-8,0)$, $L(-6,0)$, $M(-6,-10)$